You invest 60% of your financial assets in Standard & Poor's Depository Receipts (SPY) and 40% of your financial assets in MSCI EAFE Index Fund (EFA). SPY has an expected return of 8% and a standard deviation of 15%. EFA has an expected return of 10% and a standard deviation of 18%. The correlation between the two investments is 0.6. The risk- free rate is 1%. a. Briefly explain the investment strategies of SPY and EFA. b. What is the expected return, the standard deviation, and the Sharpe ratio of your portfolio? Show the mathematical equations that you use to derive these measures.

You invest 60% of your financial assets in Standard & Poor's Depository Receipts (SPY) and 40% of your financial assets in MSCI EAFE Index Fund (EFA). SPY has an expected return of 8% and a standard deviation of 15%. EFA has an expected return of 10% and a standard deviation of 18%. The correlation between the two investments is 0.6. The risk- free rate is 1%. a. Briefly explain the investment strategies of SPY and EFA. b. What is the expected return, the standard deviation, and the Sharpe ratio of your portfolio? Show the mathematical equations that you use to derive these measures.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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You are constructing a portfolio of two assets, Asset A and Asset B. The expected returns of the assets are 12 percent and 16 percent. respectively. The standard deviations of the assets are 29 percent and 37 percent, respectively. The correlation between the two assets is 41 and the risk-free rate is 3.4 percent. What is the optimal Sharpe ratio in a portfolio of the two assets? What is the smallest expected loss for this portfolio over the coming year with a probability of 2.5 percent? (A negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your Sharpe ratio answer to 4 decimal places and the z-score value to 3 decimal places when calculating your answer. Enter your smallest expected loss as a percent rounded to 2 decimal places.) Sharpe ratio Smallest expected loss %
As an individual investor, you have three funds to invest into. The first is an equity fund, the second is a corporate bond fund, and the third is a T-bill money-market fund (your risk-free asset). Fund Expected rate of return Risk (Standard deviation) Equity fund 16% 32% Corporate bond fund 12% 18% T-bill money market fund 2% Correlation between equity fund and bond fund returns is 0.4. Find the Expected return of the minimum variance portfolio formed from Equity and Bond funds
Consider the following historical performance data for two different portfolios, the Standard and Poor's 500, and the 90-day T-bill presented below. What is the Fama diversification measure for the Globex Fund? Assume the T-bill rate as the risk- free rate and the S&P return as the market average return. Use at least four decimal places in your calculations, but report your answer in percentage terms rounded to two decimal places. (Ex..12345 should be entered as "12.35") Investment Vehicle Globex Fund World Fund S&P500 90-day T-bill Answer: Average Rate of Return% 25.2 13.92 15.52 7.10 Standard Deviation 21.33 14 12.8 0.3 Beta 1.05 0.95 R² 0.756 0.741
You invest $96 in a risky asset and the T-bill. The risky asset has an expected rate of return of 19% and a standard deviation of 0.22, and a T-bill with a rate of return of 4%. A portfolio that has an expected outcome of $110 is formed by investing what dollar amount in the risky asset? Round your answer to the nearest cent (2 decimal places).
Consider a borrow-and-invest strategy in which you use $1 million of your own money and borrow another $1 million (at the t-bill rate) to invest $2 million in a market index fund. If the risk free interest rate is 5.52 percent and the expected rate of return on the market index fund is 12.68 percent, what is the risk premium on this borrow-and-invest strategy?
State the return rate (in %) for your optimal portfolio.
In the following exercise, separate the investments according to the type of Keynesian demand they are: Transactions (0% to 5%), Precautionary (6% to 9%), and Speculative demand (greater than 10%). Investment in each category has the same risk. So you want to invest in the highest return for the same risk. Take each demand type and choose the highest return and put that amount into the investment. For example, if Bond fund A has a return of 4% and Fund B has a return of 5%, they have the same risk, so you would put $70 into bond fund B. You have the following investments Opportunities ad returns. Fidelity Bonds 11% Fidelity Magellan 9% Putman Bonds one 4% Putman bonds Two 12% Growth Stock One 15% Growth and Income 8% Income Fund 3% Putman Growth…
Consider the following risk-return characteristics for funds A and B: Expected return Risk Fund A (Equity) 12% 20% Fund B (Debt) 9% 16% The correlation coefficient between the returns of fund A and fund B is 0.4. 1. Which Fund is riskier? Write 1 if your answer is Fund A, write 2 if your answer is Fund B, or write 3 if your answer is undetermined. 2.1 What is the weight of fund A in the minimum variance portfolio? 2.4 What is the risk of the minimum variance portfolio? 2.2 What is the weight of Fund B in the minimum variance portfolio? 2.3 What is the expected return of the minimum variance portfolio?
You have estimated the single index model (SIM) fund B and found that its alpha and beta are 0.035 and 1.1 respectively. The standard deviation of Fund B's excess returns is 30% and the market portfolio excess returns have a standard deviation of 20%. What's the information ratio of Fund B?
You manage a risky portfolio with an expected rate of return of 10% and a standard deviation of 33%. The T-bill rate is 2%. Your client chooses to invest 75% of a portfolio in your fund and 25% in an essentially risk-free money market fund. What are the expected return and standard deviation of the rate of return on his portfolio? Note: Round your answers to 2 decimal places. Expected return Standard deviation % %
Your client, Sandra is considering three assets: a bond mutual fund, a cryptocurrency ETF, and US Treasury bills. The annualized T-bill rate is 2%. The information below refers to the two risky assets. Expected return Standard deviation Bond mutual fund Cryptocurrency ETF 3% 10% Correlation coefficient 0 14% 20% (a) What are the proportions of each asset, in Sandra's optimal risky portfolio? (b) Suppose the return for each risky asset follows a normal distribution. What is the 1% value-at-risk for Sandra's optimal risky portfolio? Hint: P(Z<-2.326) = 0.01 where Z~N(0, 1).
You are evaluating various investment opportunities currently available and you have the fol-lowing information about five different well-diversified portfolios of risky assets. Interest raterf = 3% a) Calculate the Sharpe ratio for each portfolio. (b) Explain which of these five portfolios is most likely to be the optimal risky portfolio. (c) Suppose you are willing to invest with an expected return of 6%. What would be theinvestment proportions in the riskless asset and the optimal risky portfolio? What is thestandard deviation of the return for this investment?

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